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Simplifying 2.5a + 1 = 3a + -4 Reorder the terms: 1 + 2.5a = 3a + -4 Reorder the terms: 1 + 2.5a = -4 + 3a Solving 1 + 2.5a = -4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 1 + 2.5a + -3a = -4 + 3a + -3a Combine like terms: 2.5a + -3a = -0.5a 1 + -0.5a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + -0.5a = -4 + 0 1 + -0.5a = -4 Add '-1' to each side of the equation. 1 + -1 + -0.5a = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5a = -4 + -1 -0.5a = -4 + -1 Combine like terms: -4 + -1 = -5 -0.5a = -5 Divide each side by '-0.5'. a = 10 Simplifying a = 10
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